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Lecture Notes in Physics

Quantum Field Theory on Curved Spacetimes

Concepts and Mathematical Foundations

Editors: Bär, Christian, Fredenhagen, Klaus (Eds.)

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  • ISBN 978-3-642-02780-2
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Hardcover $79.95
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About this book

After some decades of work a satisfactory theory of quantum gravity is still not available; moreover, there are indications that the original field theoretical approach may be better suited than originally expected. There, to first approximation, one is left with the problem of quantum field theory on Lorentzian manifolds. Surprisingly, this seemingly modest approach leads to far reaching conceptual and mathematical problems and to spectacular predictions, the most famous one being the Hawking radiation of black holes.

 Ingredients of this approach are the formulation of quantum physics in terms of C*-algebras, the geometry of Lorentzian manifolds, in particular their causal structure, and linear hyperbolic differential equations where the well-posedness of the Cauchy problem plays a distinguished role, as well as more recently the insights from suitable concepts such as  microlocal analysis.

 This primer is an outgrowth of a compact course given by the editors and contributing authors to an audience of advanced graduate students and young researchers in the field, and assumes  working knowledge of differential geometry and functional analysis on the part of the reader.

Reviews

From the reviews:

“This is a very nice book which captures in only 160 pages the most important aspects of the mathematical and conceptional foundations of quantum field theory on curved spacetimes. … the interested reader can find here an introduction to the key concepts and pointers towards further literature. I can recommend this book to readers who are new to the subject as an ideal starting point, and also to more experienced researchers who are looking for a short and concise overview.” (Michael Keyl, Mathematical Reviews, Issue 2011 f)

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-3-642-02780-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.95
price for USA in USD
Softcover $74.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Field Theory on Curved Spacetimes
Book Subtitle
Concepts and Mathematical Foundations
Editors
  • Christian Bär
  • Klaus Fredenhagen
Series Title
Lecture Notes in Physics
Series Volume
786
Copyright
2009
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-02780-2
DOI
10.1007/978-3-642-02780-2
Hardcover ISBN
978-3-642-02779-6
Softcover ISBN
978-3-642-26051-3
Series ISSN
0075-8450
Edition Number
1
Number of Pages
X, 160
Number of Illustrations
30 b/w illustrations
Topics